Question

The point ( -2,-1) satisfies which of the following inequalities?

Answer 1

-5x+2y+1>0

Explanation:

Plug in -2 for x and -1 for y. This is the only answer that gives you a positive number that is greater than zero.

Answer 2

Answer: Second Option

Explanation:

Substitute the point in each of the given inequalities and verify if the inequality is met.

If the inequality is fulfilled then the point belongs to the region

For

`5x-2y +1>0`

`5(-2)-2(-1) +1>0`

`-10+2 +1>0`

`-7>0`

-7 is not greater than zero. the inequality is not met

For

`-5x+2y +1>0`

`-5(-2)+2(-1) +1>0`

`10-2 +1>0`

`9>0`

9 is greater than zero. So the point belongs to inequality

For

`-2x+5y -1>0`

`-2(-2)+5(-1) -1>0`

`4-5-1>0`

`-2>0`

-2 is not greater than zero. the inequality is not met

For

`2x+5y -1>0`

`2(-2)+5(-1) -1>0`

`-4-5 -1>0`

`-10>0`

-10 is not greater than zero. the inequality is not met